// вычитание
public static LongNumber Subtract(LongNumber first, LongNumber second)
{
var sum = new LongNumber(first._discharges);
var isCarry = false;
for (int i = 0; i < second._discharges.Count; i++)
{
var isCarryNext = sum._discharges[i] < second._discharges[i];
sum._discharges[i] -= ( byte )(second._discharges[i] + (isCarry ? 1 : 0));
isCarry = isCarryNext;
}
var carryIndex = second._discharges.Count;
while (isCarry)
{
if (sum._discharges[carryIndex] != 0)
{
isCarry = false;
}
sum._discharges[carryIndex] -= 1;
carryIndex++;
}
var lastIndex = sum._discharges.Count;
while (lastIndex != 0 && sum._discharges[--lastIndex] == 0)
{
;
}
sum._discharges.RemoveRange(lastIndex + 1, sum._discharges.Count - lastIndex - 1);
return(sum);
}
// широкую на широкую! умножаем
public static LongNumber operator *(LongNumber first, LongNumber second)
{
var output = new LongNumber();
if (AbsCompare(first, second) == -1)
{
var temp = second;
second = first;
first = temp;
}
for (int i = 0; i < second._discharges.Count; i++)
{
multuADD(output, first * second._discharges[i], i);
}
var lastIndex = output._discharges.Count;
while (lastIndex != 0 && output._discharges[--lastIndex] == 0)
{
;
}
output._discharges.RemoveRange(lastIndex + 1, output._discharges.Count - lastIndex - 1);
output._isNegative = first._isNegative != second._isNegative;
return(output);
}
// сранение 1 - первое больше, -1 первое меньше, 0 - равны
public static int AbsCompare(LongNumber first, LongNumber second)
{
if (first._isNegative && !second._isNegative)
{
return(-1);
}
if (!first._isNegative && second._isNegative)
{
return(1);
}
if (first._discharges.Count < second._discharges.Count)
{
return(-1);
}
if (first._discharges.Count > second._discharges.Count)
{
return(1);
}
for (int i = first._discharges.Count - 1; i >= 0; i--)
{
if (first._discharges[i] < second._discharges[i])
{
return(-1);
}
if (first._discharges[i] > second._discharges[i])
{
return(1);
}
}
return(0);
}
// подбор очередного байта частного методом дихотомии. (гуглить "окулов длинная арифметика")
private static Cont <Byte, LongNumber> getDivider(LongNumber residue, LongNumber second)
{
var down = 0;
var up = 256;
while (down + 1 < up)
{
var newValue = second * ( byte )((down + up) / 2);
if (AbsCompare(residue, newValue) == -1)
{
up = (down + up) / 2;
}
else
{
down = (down + up) / 2;
}
}
var residueOut = Subtract(residue, second * ( byte )down);
residueOut._isNegative = residue._isNegative;
return(new Cont <Byte, LongNumber>(( byte )down, residueOut));
}
public static bool MuTuallySimple(LongNumber number1, LongNumber number2)
{
if (number1 == new LongNumber(0) || number2 == new LongNumber(0))
{
return(false);
}
return(LeastCommonDivisor(number1, number2) == new LongNumber(1));
}
public static LongNumber GetCopy(LongNumber MyList1)
{
LongNumber temp = new LongNumber();
for (int i = 0; i < MyList1.Length; i++)
{
temp.Push(MyList1[i]);
}
return(temp);
}
// сложение
public static LongNumber Add(LongNumber first, LongNumber second)
{
var sum = new LongNumber(first._discharges);
var isCarry = false;
for (int i = 0; i < second._discharges.Count; i++)
{
var add = sum._discharges[i] + second._discharges[i] + (isCarry ? 1 : 0);
isCarry = (add >> 8) > 0;
sum._discharges[i] = ( byte )add;
}
var carryIndex = second._discharges.Count;
return(sum);
}
// деление (частное, остаток)
public static Cont <LongNumber, LongNumber> operator /(LongNumber first, LongNumber second)
{
var output = new LongNumber();
var residue = new LongNumber(first._discharges, first._isNegative);
if (AbsCompare(first, second) == -1)
{
output._discharges.Add(0);
return(new Cont <LongNumber, LongNumber>(output, residue));
}
var discharge = residue._discharges.Count - second._discharges.Count;
for (int i = 0; i < discharge; i++)
{
second._discharges.Insert(0, 0);
}
for (int i = 0; i < discharge; i++)
{
if (AbsCompare(residue, second) == -1)
{
output._discharges.Insert(0, 0);
}
else
{
var cont = getDivider(residue, second);
output._discharges.Insert(0, cont.First);
residue = cont.Second;
}
second._discharges.RemoveAt(0);
}
{
var cont = getDivider(residue, second);
output._discharges.Insert(0, cont.First);
residue = cont.Second;
}
var lastIndex = output._discharges.Count;
while (output._discharges[--lastIndex] == 0)
{
;
}
output._discharges.RemoveRange(lastIndex + 1, output._discharges.Count - lastIndex - 1);
output._isNegative = first._isNegative != second._isNegative;
return(new Cont <LongNumber, LongNumber>(output, residue));
}
// специальное сложение для умножения. чтоб быстрее
private static void multuADD(LongNumber output, LongNumber longNumber, int index)
{
var isCarry = false;
for (int i = 0; i < longNumber._discharges.Count; i++)
{
if (output._discharges.Count == i + index)
{
output._discharges.Add(0);
}
var add = output._discharges[i + index] + longNumber._discharges[i] + (isCarry ? 1 : 0);
isCarry = (add >> 8) > 0;
output._discharges[i + index] = ( byte )add;
}
var carryIndex = longNumber._discharges.Count + index;
}
// перевод в обычную строку(поразрядно)
public override string ToString()
{
var sb = new StringBuilder();
sb.Append(Sign());
var forOut = new LongNumber(_discharges);
var ten = new LongNumber(new byte[] { 10 });
while (forOut._discharges.Count > 1 || forOut._discharges[0] > 9)
{
var div = forOut / ten;
forOut = div.First;
sb.Insert(1, ( char )('0' + div.Second._discharges[0]));
}
sb.Insert(1, ( char )('0' + forOut._discharges[0]));
return(sb.ToString());
}
// перегруз оператора. учтено, что иногда сложение - это вычитание (например -5+3 - это 3 - 5)
public static LongNumber operator -(LongNumber first, LongNumber second)
{
if (first == second)
{
second = new LongNumber(second._discharges)
{
_isNegative = !first._isNegative
}
}
;
else
{
second._isNegative = !second._isNegative;
}
var output = first + second;
second._isNegative = !second._isNegative;
return(output);
}
// умножение длинного на байт
public static LongNumber operator *(LongNumber ln, byte b)
{
var output = new LongNumber(ln._discharges);
byte carry = 0;
for (int i = 0; i < output._discharges.Count; i++)
{
int intermediate = output._discharges[i] * b;
var addCarry = ((intermediate & 255) + carry) >> 8;
output._discharges[i] = ( byte )((intermediate & 255) + carry);
carry = ( byte )((intermediate >> 8) + addCarry);
}
if (carry > 0)
{
output._discharges.Add(carry);
}
return(output);
}
public static LongNumber FromString(string s)
{
if (s.Length != 0 && s[0] != '-' && s[0] != '+')
{
s = '+' + s;
}
var output = new LongNumber(new List <byte> {
0
});
for (int i = 1; i < s.Length; i++)
{
output *= 10;
output += new LongNumber(new List <byte> {
( byte )(s[i] - '0')
});
}
output._isNegative = s[0] == '-';
return(output);
}
public static LongNumber operator %(LongNumber number1, LongNumber number2)
{
if (number1 == number2)
{
return(new LongNumber(0));
}
if (number1 < number2)
{
return(GetCopy(number1));
}
int i = number1.Length - 1;
LongNumber temp = new LongNumber();
while (i >= 0)
{
temp.InsertToStart(number1[i]);
i--;
if (temp[temp.Length - 1] == 0 && temp.Length > 1)
{
temp.Pop();
}
while (temp < number2 && i >= 0)
{
temp.InsertToStart(number1[i]);
i--;
}
while (temp >= number2)
{
temp = temp - number2;
}
}
return(temp);
}
public static LongNumber LeastCommonDivisor(LongNumber number1, LongNumber number2)
{
if (number1 >= number2)
{
LongNumber temp = number1 % number2;
if (temp == new LongNumber(0))
{
return(GetCopy(number2));
}
return(LeastCommonDivisor(number2, temp));
}
else
{
LongNumber temp = number2 % number1;
if (temp == new LongNumber(0))
{
return(GetCopy(number1));
}
return(LeastCommonDivisor(number1, temp));
}
}
static void Main(string[] args)
{
Console.WriteLine("Enter the first number\n");
string string_number1 = Console.ReadLine();
Console.WriteLine("Enter the second number\n");
string string_number2 = Console.ReadLine();
LongNumber number1 = new LongNumber(string_number1);
LongNumber number2 = new LongNumber(string_number2);
if (LongNumber.MuTuallySimple(number1, number2))
{
Console.WriteLine("\nMutually simple\n");
}
else
{
Console.WriteLine("\nNot mutually simple\n");
}
Console.ReadKey();
}
public static LongNumber operator -(LongNumber number1, LongNumber number2)
{
/*
*
* for(int i=1;i<number1_0+1;i++)
* {
*
* if(i<number1_0) //если не первый разряд
* {
* result[i+1]--; //занимаем единицу у более старшего разряда большого числа
* result[i]+=10+big[i];
* }
* else
* result[i]+=big[i];
*
* result[i]-=small[i];
* if(result[i]/10>0)
* {
* result[i+1]++;
* result[i]%=10;
* }
* }*/
if (number1 < number2)
{
return(null);
}
if (number1 == number2)
{
return(new LongNumber(0));
}
LongNumber result = new LongNumber(0);
for (int i = 0; i < number1.Length; i++)
{
if (i < number1.Length - 1)
{
result.Push(0);
(result)[i + 1] = (result)[i + 1] - 1;
(result)[i] = (result)[i] + 10 + number1[i];
}
else
{
result[i] = result[i] + number1[i];
}
if (i < number2.Length)
{
result[i] = result[i] - number2[i];
}
if (result[i] / 10 > 0 && i < number1.Length - 1)
{
((MyList)result)[i + 1] = ((MyList)result)[i + 1] + 1;
result[i] = result[i] % 10;
}
}
int j = result.Length - 1;
while (result[j] <= 0 && j > 0)
{
result.Pop();
j--;
}
return(result);
}
public LongNumber(LongNumber ln)
{
_isNegative = ln._isNegative;
_discharges = ln._discharges;
}